Answer:
36
Step-by-step explanation:
Objective: Find missing dimensions of the right triangle using the then subtract that area of the triangle from the rectangle's area.
Using the definition of a rectangle, the left vertical side measure is 7 and right vertical side is 6. So the missing legs of the triangle is 4 and 3.
Apply triangle formula, base x height divided by 2.

Area of rectangle is length x width so the area is

Subtract 6 from 42.

Answer:
18 boys
Step-by-step explanation:
we add 2 and 3 because they are equal parts:
2+3=5
Then we divide 45 by 5 because we want to find what 1 part equals"
45/5=9
We now do 9*2 to get an answer of:
9*2=18
hope this makes sense!
Answer:11
Step-by-step explanation:
Boys : girls=7:1
Sum of ratio=7+1=8
Let them number of girls be y
Then they number of boys=y+66
Total number of pupils=y+y+66
Total number of pupils=2y+66
Number of girls=(girls ratio)/(sum of ratio) x (total number of pupils)
y=1/8 x (2y+66)
Cross multiply
y x 8=2y + 66
8y=2y + 66
Collect like terms
8y-2y=66
6y=66
Divide both sides by 6
6y/6=66/6
y=11
The number of girls is 11
Answer:
Option d - Equality
Step-by-step explanation:
To find : What sign of a null hypothesis must always include?
Solution :
The Null hypothesis is defined as a statement about the population that either is believed to be true or is used to put forth an argument unless it can be shown to be incorrect beyond a reasonable doubt.
The Null hypothesis represent by 
always has a symbol with an equal in it.
Therefore, Option d is correct.
Equality sign of a null hypothesis must always include.
Answer:
Option c.
No damping
Step-by-step explanation:
We can easily solve this question by using a graphing calculator or any plotting tool.
The function is
f(x) = (√11)*cos(3.7x)
Which can be seen in the picture below
We can notice that f(x) is a cosine with maximum amplitude of (√11). Neither this factor nor the multiplication of x by 3.7 serve as a damping factor since they are constants.
f(x) does not present any dampening